113632992 has 72 divisors (see below), whose sum is σ = 352530360. Its totient is φ = 34433280.

The previous prime is 113632973. The next prime is 113632993. The reversal of 113632992 is 299236311.

It is a happy number.

113632992 is a `hidden beast` number, since 1 + 1 + 363 + 299 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113632993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14767 + ... + 21102.

It is an arithmetic number, because the mean of its divisors is an integer number (4896255).

Almost surely, 2^113632992 is an apocalyptic number.

113632992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113632992 is an abundant number, since it is smaller than the sum of its proper divisors (238897368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113632992 is a wasteful number, since it uses less digits than its factorization.

113632992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35896 (or 35885 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 113632992 is about 10659.8776728441. The cubic root of 113632992 is about 484.3598625974.

The spelling of 113632992 in words is "one hundred thirteen million, six hundred thirty-two thousand, nine hundred ninety-two".